Nonintegrability of the Reduced Planar Three-body Problem with Generalized Force
نویسندگان
چکیده
We consider the planar three-body problem with generalized potentials. Some nonintegrability results for these systems have been obtained by analyzing variational equations along homothetic solutions. But we cannot apply it to several exceptional cases. For example, in case of inverse-square potentials, solutions are solvable. obtain sufficient conditions cases focusing on some particular that different from
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ژورنال
عنوان ژورنال: Regular & Chaotic Dynamics
سال: 2021
ISSN: ['1468-4845', '1560-3547']
DOI: https://doi.org/10.1134/s1560354721040079